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Finding the Fourth Proportional to 422.05, 582.45 and 256.27

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Solution

The fourth proportional to 422.05, 582.45 and 256.27 is: 353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.05 : 582.45 = 256.27 : x
  2. Step 2: Convert to fraction form
    422.05/582.45 = 256.27/x
  3. Step 3: Cross multiply
    422.05x = 582.45 × 256.27
  4. Step 4: Simplify right side
    422.05x = 149,264.46
  5. Step 5: Solve for x
    x = 149,264.46/422.05
  6. Step 6: Final answer
    x = 353.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.